Respuesta :

sqdancefan

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Answer:

  57°

Step-by-step explanation:

TD is a diameter, so arc TCD is 180°. Then arc CD is ...

  CD = arc TCD -arc TC

  CD = 180° -123°

  arc CD = 57°

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Question :-

Find the measure of arc CD in P.

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Solution :-

Given Information :-

  • Arc TC = 123°
  • Arc TCD = 180° ( Reason :- Arc TCD is the diameter of circle )
  • Arc BT = 90°

To Find :-

  • Measure of Arc CD

Calculation :-

Because Arc TC and Arc CD comprise the Arc TCD,

⇒ Arc TC + Arc CD = Arc TCD

Substituting the values given, We get,

⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )

Now, Transposing 123° to Right Hand Side, We get,

⇒ Arc CD = 180° - 123°

⇒ Arc CD = 57°

∴ Arc CD = 57°

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Final Answer :-

Arc CD measures 57°

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